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Finding the Third Proportional to 590,504 and 866,072

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Solution

The third proportional to 590,504 and 866,072 is: 1,270,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,504 : 866,072 = 866,072 : x
  2. Step 2: Convert to fraction form
    590,504/866,072 = 866,072/x
  3. Step 3: Cross multiply
    590,504x = 866,072 × 866,072
  4. Step 4: Simplify right side
    590,504x = 750,080,709,184
  5. Step 5: Solve for x
    x = 750,080,709,184/590,504
  6. Step 6: Final answer
    x = 1,270,238.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.